Let-a-b-c-gt-0-and-abc-1-Prove-that-a-3-a-1-2-b-3-b-1-2-c-3-c-1-2-a-b-c-4-

Question Number 145615 by loveineq last updated on 06/Jul/21

Let a, b, c > 0 and a b c = 1 . Prove that

\frac{a^{3}}{{(a + 1)}^{2}} + \frac{b^{3}}{{(b + 1)}^{2}} + \frac{c^{3}}{{(c + 1)}^{2}} ⩾ \frac{a + b + c}{4}

Commented by justtry last updated on 10/Jul/21

Commented by loveineq last updated on 10/Jul/21

Thanks